Bases 251-500 reservations/statuses/primes

[gd_barnes]

Originally Posted by appeldorff

An update on my Sierp255 reservation:

I am currently at the halfway mark (n=15000). 208 primes found and proven so far. I've attached them to this post.

Also, it appears there is a small typo regarding Sierp base 255. It says there are 547 k's remaining yet there are 548 k's listed.

208 down, 340 to go

Thanks for the primes. Nice progress! Technically you're closer to 1/4th done due to the increased testing times for n=15K-25K...just thought I'd give you an idea of what is left.

My apologies for the mistake on the pages. In doing a rebalancing with k's to search vs. k's remaining, it appears that the # of k's remaining at n=5100 is correct. I accidently left one k remaining that should have been removed; k=87036. 87036*255^4784+1 is prime.

You can remove k=87036 from your testing. I checked your primes file for a prime for k=87036 and there was none. This means that there are 339 k's remaining at n=15K.


Gary

[Mini-Geek]

I'll take Riesel base 298 (5 k's) from 10K to 25K. I'll sieve n=10K through 100K to my optimal depth for 25K (300G) and post that sieve file now, (should only take a day or so) but probably wait until I'm done with Riesel base 24 to start the PFGW work.

[Mini-Geek]

Originally Posted by Mini-Geek

I'll take Riesel base 298 (5 k's) from 10K to 25K. I'll sieve n=10K through 100K to my optimal depth for 25K (300G) and post that sieve file now, (should only take a day or so)

Sieve file attached. (NewPGen format)

[Mini-Geek]

Originally Posted by Mini-Geek

I'll take Riesel base 298 (5 k's) from 10K to 25K. ... but probably wait until I'm done with Riesel base 24 to start the PFGW work.

I changed my mind and finished it to n=25K.
One prime: (verified)

30*298^10338-1

The results for 10K-25K and a new sieve file with k=30 and n=10K-25K removed (i.e. now it's the four remaining k's from 25K-100K sieved to 300G) are attached.

[Mini-Geek]

Reserving and starting Sierp base 300 (conj. k is 85) to n=2500.

[Mini-Geek]

Sierpinski Base 300
Conjectured k = 85

Found Primes:

2*300^1+1
3*300^2+1
4*300^1+1
5*300^2+1
6*300^1+1
7*300^5+1
8*300^26+1
9*300^20+1
10*300^1+1
11*300^1+1
13*300^5+1
14*300^1+1
15*300^2+1
16*300^1+1
17*300^1+1
18*300^2+1
19*300^1+1
20*300^11+1
21*300^1+1
23*300^3+1
24*300^2+1
26*300^2+1
27*300^1+1
28*300^44+1
29*300^672+1
30*300^1+1
31*300^2+1
32*300^1+1
33*300^1+1
34*300^13+1
35*300^1+1
36*300^24+1
37*300^4+1
39*300^1+1
40*300^2+1
41*300^1+1
42*300^1+1
43*300^2+1
44*300^8+1
46*300^2+1
47*300^6+1
48*300^1+1
49*300^25+1
50*300^146+1
52*300^1+1
53*300^1+1
54*300^8+1
55*300^2251+1
56*300^3+1
57*300^2+1
58*300^1+1
59*300^11+1
60*300^2+1
61*300^1+1
62*300^3+1
63*300^163+1
65*300^1+1
66*300^1+1
67*300^1+1
69*300^3+1
70*300^1+1
71*300^2+1
72*300^1+1
73*300^2+1
74*300^6+1
75*300^1+1
76*300^3+1
78*300^10+1
79*300^2+1
80*300^1+1
81*300^2+1
82*300^15+1
83*300^275+1
84*300^13+1

Trivial Factor Eliminations:
12
22
25
38
45
51
64
68
77

GFN Eliminations:
1

Conjecture Proven

[Mini-Geek]

Reserving Riesel base 300. I already started. k=81 alone remains at n=2500. I'll post the full statuses once I find a prime for k=81 proving the conjecture, or it gets too large and I give up on it.

[Mini-Geek]

Originally Posted by Mini-Geek

Reserving Riesel base 300. I already started. k=81 alone remains at n=2500. I'll post the full statuses once I find a prime for k=81 proving the conjecture, or it gets too large and I give up on it.

Despite expecting under 1 prime in n=2500-25K, I found a prime for this at n=12793! The conjecture is now proven.

Riesel Base 300
Conjectured k = 85

Found Primes:

2*300^1-1
3*300^26-1
4*300^3-1
5*300^1-1
6*300^96-1
7*300^1-1
8*300^1-1
9*300^1-1
10*300^1-1
11*300^1-1
12*300^2-1
13*300^98-1
15*300^25-1
16*300^1-1
17*300^1-1
18*300^1-1
19*300^2-1
20*300^2-1
21*300^1-1
22*300^1-1
23*300^1-1
25*300^1-1
26*300^4-1
28*300^3-1
29*300^1-1
30*300^1-1
31*300^7-1
32*300^2-1
33*300^29-1
34*300^8-1
35*300^1-1
36*300^1-1
37*300^2-1
38*300^1-1
39*300^1-1
41*300^10-1
42*300^516-1
43*300^1-1
44*300^5-1
45*300^1-1
46*300^1-1
48*300^18-1
49*300^1-1
50*300^3-1
51*300^1-1
52*300^2-1
54*300^2-1
55*300^6-1
56*300^2-1
57*300^1-1
58*300^5-1
59*300^2-1
60*300^20-1
61*300^2-1
62*300^52-1
63*300^1-1
64*300^11-1
65*300^11-1
67*300^4-1
68*300^1-1
69*300^8-1
71*300^3-1
72*300^1-1
73*300^2-1
74*300^106-1
75*300^174-1
76*300^18-1
77*300^1-1
78*300^1-1
80*300^13-1
81*300^12793-1
82*300^3-1
83*300^624-1
84*300^2-1

Trivial Factor Eliminations:
1
14
24
27
40
47
53
66
70
79

Conjecture Proven

[MyDogBuster]

Sierp Base 300
Conjectured k = 85
Covering Set = 7,43
Trivial Factors k == 12 mod 13(13) and k == 22 mod 23(23)

Found Primes: 74k's File attached

Trivial Factor Eliminations:
12
22
25
38
45
51
64
68
77

Conjecture Proven

[MyDogBuster]

Reserving the following bases (all new) to n=25K.

Reisel 289

Sierp 259,265,289,317,368

The above bases will all be complete in 4 days. I will report them 1 per day so Gary doesn't kill me.

Are we having fun yet?

[MyDogBuster]

I guess I duplicated Sierp Base 300. Nice job Tim. At least we got the same answer. Must have missed your reservation.

Sierp Base 300 officially double-checked. LOL